5. Let f(x) = 4x²/3 – x4/3. a) Find the domain of f. Domain: b) Find the x-intercept(s) and y-intercept of f (if none, write “none"). x-intercept(s): y-intercept: c) Find f' and f", and determine where each are 0 and/or do not exist (DNE). If nowhere, write “nowhere." f'(x) = 0 when x =, f'(x) DNE when x =, f"(x) = 0 when x =. f"(x) DNE when x =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 41E
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help me for a, b, c, d, e, f, g, h

5. Let f(x) = 4x?/3 – x4/3.
a)
Find the domain of f.
Domain:
b)
Find the x-intercept(s) and y-intercept of f (if none, write "none").
x-intercept(s):
y-intercept:
Find f' and f", and determine where each are 0 and/or do not exist (DNE). If nowhere,
c)
write “nowhere."
f'(x) = 0 when x =
f'(x) DNE when x =
f"(x) = 0 when x =
f"(x) DNE when x =
d)
Do a sign analysis on f' and f".
e)
Find the intervals on which f is increasing and decreasing.
Increasing:
Decreasing:
f)
Find the intervals on which f is concave up and concave
down.
Concave up:
Concave down:
2
g)
(if any). Be sure to identify which is a max/min/inflection point.
Find all local maxima, local minima, and inflection points of f
-4
-2
2
4
6
-2
-4
-6
h)
Sketch the graph of f.
-8
Transcribed Image Text:5. Let f(x) = 4x?/3 – x4/3. a) Find the domain of f. Domain: b) Find the x-intercept(s) and y-intercept of f (if none, write "none"). x-intercept(s): y-intercept: Find f' and f", and determine where each are 0 and/or do not exist (DNE). If nowhere, c) write “nowhere." f'(x) = 0 when x = f'(x) DNE when x = f"(x) = 0 when x = f"(x) DNE when x = d) Do a sign analysis on f' and f". e) Find the intervals on which f is increasing and decreasing. Increasing: Decreasing: f) Find the intervals on which f is concave up and concave down. Concave up: Concave down: 2 g) (if any). Be sure to identify which is a max/min/inflection point. Find all local maxima, local minima, and inflection points of f -4 -2 2 4 6 -2 -4 -6 h) Sketch the graph of f. -8
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